Magma V2.19-8 Wed Aug 21 2013 01:00:50 on localhost [Seed = 1427328700] Type ? for help. Type -D to quit. Loading file "L13n9858__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9858 geometric_solution 12.47839245 oriented_manifold CS_known 0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 1 2 1 0 -1 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 1 1 1 0 -1 0 1 2 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.947279124121 0.926034517310 0 5 5 6 0132 0132 1302 0132 0 1 1 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 -1 0 1 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284920145499 0.699042775291 4 0 7 6 0213 0132 0132 0213 0 1 1 2 0 1 0 -1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 1 0 -1 0 0 0 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.511470742404 8 5 9 0 0132 1230 0132 0132 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.685037375249 0.625334480511 2 7 0 9 0213 0132 0132 2310 0 1 1 2 0 0 -1 1 0 0 0 0 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 -1 0 0 1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 0.436052073129 1 1 3 10 2031 0132 3012 0132 0 0 2 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.226734554110 8 11 1 2 2103 0132 0132 0213 0 1 1 1 0 0 -1 1 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.500000000000 1.151315884835 11 4 12 2 0213 0132 0132 0132 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.938719416562 1.076384535710 3 12 6 9 0132 2031 2103 1302 1 1 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631120874436 0.775684498911 4 12 8 3 3201 0132 2031 0132 0 1 0 1 0 0 0 0 -1 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -1 0 0 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752438833123 0.968872266429 11 11 5 12 2031 0321 0132 3012 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284920145499 0.699042775291 7 6 10 10 0213 0132 1302 0321 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284920145499 0.699042775291 8 9 10 7 1302 0132 1230 0132 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.314962624751 0.625334480511 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_9']), 'c_1001_11' : d['c_0110_10'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_3']), 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0101_3']), 'c_1010_11' : negation(d['c_0011_3']), 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0011_3'], 'c_0101_11' : negation(d['c_0011_10']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_12']), 'c_1100_4' : negation(d['c_0011_12']), 'c_1100_7' : d['c_0110_10'], 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_12']), 'c_1100_3' : negation(d['c_0011_12']), 'c_1100_2' : d['c_0110_10'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_1001_12']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0110_10'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_0011_12'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0110_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : d['c_0011_11'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_9'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0101_9']), 'c_0110_7' : d['c_0011_10'], 'c_1100_8' : d['c_0101_9'], 's_2_9' : d['1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_3, c_0101_5, c_0101_9, c_0110_10, c_1001_12, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 66455017121/30799872*c_1001_2^7 - 760028514511/30799872*c_1001_2^6 - 697691080505/7699968*c_1001_2^5 + 6224171639429/30799872*c_1001_2^4 - 6083739095147/15399936*c_1001_2^3 + 585756929017/1924992*c_1001_2^2 - 8732354852357/30799872*c_1001_2 + 228204189595/5133312, c_0011_0 - 1, c_0011_10 + 5957/40104*c_1001_2^7 + 32981/20052*c_1001_2^6 + 225113/40104*c_1001_2^5 - 651527/40104*c_1001_2^4 + 1288195/40104*c_1001_2^3 - 592991/20052*c_1001_2^2 + 1008635/40104*c_1001_2 - 104051/13368, c_0011_11 - 51559/80208*c_1001_2^7 - 288635/40104*c_1001_2^6 - 673639/26736*c_1001_2^5 + 5380021/80208*c_1001_2^4 - 1164029/8912*c_1001_2^3 + 1172707/10026*c_1001_2^2 - 2731421/26736*c_1001_2 + 278665/8912, c_0011_12 - c_1001_2 + 1, c_0011_3 - 923/80208*c_1001_2^7 - 1547/13368*c_1001_2^6 - 24325/80208*c_1001_2^5 + 137753/80208*c_1001_2^4 - 302477/80208*c_1001_2^3 + 41651/10026*c_1001_2^2 - 278875/80208*c_1001_2 + 44419/26736, c_0101_0 - 1, c_0101_10 - 923/80208*c_1001_2^7 - 1547/13368*c_1001_2^6 - 24325/80208*c_1001_2^5 + 137753/80208*c_1001_2^4 - 302477/80208*c_1001_2^3 + 41651/10026*c_1001_2^2 - 278875/80208*c_1001_2 + 17683/26736, c_0101_3 - 2545/80208*c_1001_2^7 - 3613/10026*c_1001_2^6 - 103165/80208*c_1001_2^5 + 264607/80208*c_1001_2^4 - 406109/80208*c_1001_2^3 + 82973/20052*c_1001_2^2 - 258613/80208*c_1001_2 + 38215/26736, c_0101_5 - 1, c_0101_9 + 14905/26736*c_1001_2^7 + 13899/2228*c_1001_2^6 + 582689/26736*c_1001_2^5 - 1564111/26736*c_1001_2^4 + 3023353/26736*c_1001_2^3 - 664397/6684*c_1001_2^2 + 2290685/26736*c_1001_2 - 226011/8912, c_0110_10 + 3415/80208*c_1001_2^7 + 4789/10026*c_1001_2^6 + 134479/80208*c_1001_2^5 - 356953/80208*c_1001_2^4 + 667139/80208*c_1001_2^3 - 76753/10026*c_1001_2^2 + 563599/80208*c_1001_2 - 73957/26736, c_1001_12 - 751/80208*c_1001_2^7 - 2449/20052*c_1001_2^6 - 14821/26736*c_1001_2^5 + 31129/80208*c_1001_2^4 + 8531/26736*c_1001_2^3 - 25513/20052*c_1001_2^2 + 27175/26736*c_1001_2 - 1145/8912, c_1001_2^8 + 11*c_1001_2^7 + 37*c_1001_2^6 - 112*c_1001_2^5 + 224*c_1001_2^4 - 221*c_1001_2^3 + 193*c_1001_2^2 - 78*c_1001_2 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB